Bounds on the minimum distance of additive quantum codes

Bounds on [[139,119]]₂

lower bound:	4
upper bound:	6
Construction

Construction of a [[139,119,4]] quantum code:
[1]:  [[252, 238, 4]] quantum code over GF(2^2)
     Construction from a stored generator matrix
[2]:  [[139, 125, 4]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 5, 8, 9, 10, 14, 17, 18, 19, 20, 21, 22, 25, 28, 29, 30, 33, 34, 35, 38, 39, 43, 47, 49, 51, 53, 54, 57, 58, 60, 62, 65, 71, 78, 80, 83, 85, 86, 88, 89, 90, 91, 93, 99, 100, 101, 102, 104, 105, 106, 107, 108, 112, 117, 118, 122, 127, 128, 130, 131, 134, 142, 143, 145, 146, 147, 148, 154, 157, 159, 160, 161, 163, 166, 168, 169, 173, 174, 176, 177, 180, 181, 182, 185, 189, 192, 193, 199, 201, 202, 206, 207, 208, 210, 211, 212, 213, 215, 218, 219, 220, 221, 223, 228, 229, 231, 232, 233, 236, 244, 245, 250, 251 }
[3]:  [[139, 119, 4]] quantum code over GF(2^2)
     Subcode of [2]

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 1|1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1]
      [0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1|0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1|0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0]
      [0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 0|0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 1|0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0|0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0|0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0]
      [0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 0|0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0|0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1]
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      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0|0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0|0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1]

last modified: 2009-02-08
Notes

All codes establishing the lower bounds where constructed using MAGMA.
Most upper bounds on qubit codes for n≤100 are based on a MAGMA program by Eric Rains.
For n>100, the upper bounds on qubit codes are weak (and not necessarily monotone in k).
Some additional information can be found in the book by Nebe, Rains, and Sloane.
My apologies to all authors that have contributed codes to this table for not giving specific credits.
This page is maintained by Markus Grassl (codes@codetables.de). Last change: 10.06.2024
Bounds on the minimum distance of additive quantum codes

Bounds on [[139,119]]2

Construction

Notes

Bounds on [[139,119]]₂
